What is the 6002nd prime number?
The 6002nd prime number is 59377. The next prime is 59387 (a gap of 10) and the one before is 59369.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 6002nd one is 59377.
- 2
59377 is prime because no prime up to ā59377 ā 243.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6002nd prime is close to 6002 Ć ln(6002) ā 52216, and here it is 59377.
- 4
59377 has no twin: neither 59375 nor 59379 is prime.
Primes around the 6002nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5999 | 59357 | 6 |
| 6000 | 59359 | 2 |
| 6001 | 59369 | 10 |
| 6002 | 59377 | 8 |
| 6003 | 59387 | 10 |
| 6004 | 59393 | 6 |
| 6005 | 59399 | 6 |
Questions
What is the 6002nd prime number?
59377.
Which prime number is 59377?
59377 is the 6002nd prime number.
What is the sum of the first 6002 primes?
168,567,467.